Scientific Notation

Scientific notation writes a number as m * 10^k where 1 <= m < 10. So 5400 becomes 5.4 * 10^3 and 0.00072 becomes 7.2 * 10^-4. It is a compact way to write very large or very small numbers.

Slide mantissa m (1 to 9.9) and exponent k (-6 to 9). The lab shows the actual decimal value as ordinary digits, never as scientific text. Try m = 3.2 and k = 4 to see 32000.

It compresses big numbers like Indias population (around 1.4 * 10^9) and tiny things like atom sizes (about 1 * 10^-10 m). Reading 1400000000 versus 1.4 * 10^9 is much faster. The lab keeps the answer as plain digits so you can still see the size at a glance.

The exponent k controls the size (how many zeros), while the mantissa m gives the leading digits. Changing k by 1 multiplies the value by 10; changing m only tweaks the leading number. The lab makes this clear: slide k and watch the answer jump tenfold.